Polynomial Matrix and Multiloop Control Methods Synthesis Comparation for a DC Drive

Abstract

the principle of subordinate regulation is a common control method for control objects with several series connected loops. The feature is sequential calculations of regulators, forming closed loops by their output variable. The outer loop output signal is a reference signal to the inner loop. A different approach to the synthesis of such systems is proposed, which consists of a matrix representation of the control object and controller. The advantages of this approach are shown by the example of a DC motor with independent excitation, which has three measurable output variables. The DC motor is represented in polynomial matrix form as a non-square object with one input and three outputs. The matrix regulator that brings the poles of a closed-loop system to a given form has been calculated. The desired characteristic polynomials of proposing method and classic subordinate control method are chosen the same. The same poles for closed-loop systems for two different techniques illustrate the advantages of the polynomial matrix approach. The opportunity of null placement makes able to increase the order of perturbation rejection of the DC drive. The calculation results are obtained in an analytical form, and the graphs of transient processes for a specific example are also given.